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Finding the Third Proportional to 111,719.25 and 239,428.50

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Solution

The third proportional to 111,719.25 and 239,428.50 is: 513,125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,719.25 : 239,428.50 = 239,428.50 : x
  2. Step 2: Convert to fraction form
    111,719.25/239,428.50 = 239,428.50/x
  3. Step 3: Cross multiply
    111,719.25x = 239,428.50 × 239,428.50
  4. Step 4: Simplify right side
    111,719.25x = 57,326,006,612.25
  5. Step 5: Solve for x
    x = 57,326,006,612.25/111,719.25
  6. Step 6: Final answer
    x = 513,125.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.